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Find the multiplicative inverse of the complex number. –i - Mathematics

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Question

Find the multiplicative inverse of the complex number.

–i

Sum

Solution

multiplicative inverse of -i

= $\frac{1}{i} = \frac{1}{- i} \times \frac{i}{i} = - \frac{i}{i^{2}} = - \frac{i}{- 1} = i$

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Algebraic Operations of Complex Numbers

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Chapter 5: Complex Numbers and Quadratic Equations - Exercise 5.1 [Page 104]

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NCERT Mathematics [English] Class 11

Chapter 5 Complex Numbers and Quadratic Equations
Exercise 5.1 | Q 13 | Page 104

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